Question

A conducting wire bent in the from of a parabola `y^(2)=2x` carries a current `i=2A` as shown in figure This wire is placed in a unifrom magnetic field
`oversetrarrB = - 4hatk` Tesla The magnetic force on the wire is (newton)
.
A. `-16hati`
B. `32hati`
C. `-32hati`
D. `16hati`

Answer 1

Correct Answer - B
`y^(2) = 2xx = 2 xx 2 implies y= +- 2`
`& oversetrarr(L) = - 4 hatj`
`oversetrarr(F) = I (oversetrarr(L) xx oversetrarr(B))`
`= 2 [-4hatj xx - 4 hatk ] = 32 (hatj xx hatk) = 32 hati` .